## Lecture "Digital Signal Processing"

#### Basic Information

Lecture overview
Lecturers:   Gerhard Schmidt (lecture) and Owe Wisch (exercise)
Room:   Building C - SR II (lecture and exercise)
Language:   German
Target group:   Students of Electrical Engineering and Computer Engineering in their
6th semester, also for students of Computer Science or Physics with appropriate knowledge of signals and systems.

Prerequisites:   Mathematics for engineers I, II, III, Foundations in electrical engineering I, II
Contents:

Topic overview:

• Signal digitization
• analogue-to-digital and digital-to-analogue conversion
• quantization characteristics, quantization noise
• sample and hold
• sampling of functions and sequences with/without phase shift, down- and up-sampling (decimation, interpolation)
• Spectra (DFT and FFT)
• convolution via DFT, fast DFT evaluation
• transformation of real sequences, "pruning" and "zoom" FFT
• spectral analysis of infinite sequences (windowing, periodograms of random signals)
• Digital filters
• difference and state equations
• equivalent realisations/transformed structures, diagonal form, transition matrix
• realisation effects (input, arithmetic, and coefficient errors)

References:       Rabiner, L. R.; Schafer, R. W.: Digital Processing of Speech Signals, Prentice-Hall, 1978
Kondoz, A. M.: Digital Speech-Coding for Low Bit Rate Communications System, John Wiley & Sons, 1994
von Grünigen, Daniel: Digitale Signalverarbeitung, Hanser, 2014

#### News

No news available, yet.

#### Lecture slides Slides of the lecture "Introduction"
(Introduction, boundary conditions of the lecture) Slides of the lecture "Signals"
(Signal types, AD and DA conversion, sample rate conversion) Slides of the lecture "Spectra"
(DFT, FFT, fast convolution) Slides of the lecture "Filter"
(Structures, state space desciption, realization)

#### Exercises  Exercise 1: Sampling and Quantization  Exercise 2: Reconstruction Exercise 3: Sample Rate Conversion / Convolution Exercise 4: Discrete Fourier Transform (DFT) / Radix-2-FFT Exercise 5: FFTs of real and complex signals  Exercise 6: Windowing effects Exercise 7: Signal-flow graph Exercise 8: Filter - The effect of coefficient rounding in digital filters (Part 1) Exercise 9: Filter - The effect of coefficient rounding in digital filters (Part 2) Exercise 10: Signal-flow graph (mixed) Exercise 10: Rounding effects in digital filters Exercise 11: Signal-flow graph Exercise 12: Filter Exercise 13: Filter

#### Exercise Videos

Video   Content   Exercise date

Exercises 1 and 2

24.04.2020

#### Formulary

A formulary can be found below: Formulary

#### Evaluation Current evaluation Completed evaluations

#### Current Oral Exams

Below is the list of students with their exam dates. If you do not have a date for the exam yet please use the oral exam booking system on this website. You can find the booking system here. All oral exams take place in the office of Prof. Gerhard Schmidt (Room D-013).

Date   Time   Students (matriculation numbers)   Assessor
14.08.2019   11:00 h   1133   Eric Elzenheimer